Question

Which is a true statement comparing the graphs of x^2/3^2 - y^2/4^2= 1 and y^2/3^2 - x^2/4^2 = 1?

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Answer: B) The lengths of both transverse axes are the same.

Step-by-step explanation: Given Hyperbola equations :

$\frac{x^2}{3^2}-\frac{y^2}{4^2}=1$ and

$\frac{y^2}{3^2}-\frac{x^2}{4^2}=1$

First one : $\frac{x^2}{3^2}-\frac{y^2}{4^2}=1$ is a Horizontal Hyperbola.

a = 3 and 2a = 6.

Length of transverse axis = 6.

And second one :  $\frac{y^2}{3^2}-\frac{x^2}{4^2}=1$ is a Vertical Hyperbola.

b=3 and 2b = 6

Length of transverse axis = 6.

The lengths of both transverse axes are the same.

Therefore, correct option is B option :

The lengths of both transverse axes are the same.